• 제목/요약/키워드: Least square approximation

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주파수 특성을 고려한 송전선 보호용 적분근사거리계전 알고리즘의 최적 적분 계수 결정 (Optimal Solution of integral Coefficients in Distance Relaying Algorithm for T/L Protection considering Frequency Characteristics)

  • 조경래;홍준희;정병태;조정현;박종근
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 추계학술대회 논문집 학회본부
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    • pp.42-44
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    • 1994
  • This paper presents the method of estimating integral coefficients of new distance relaying algorithm for transmission line protection. The proposed method is based on the differential equation calculates impedance value by approximation of integral term of integro-differential equation which relate voltage with current. As a result, we can determine the integral coefficients in least square error sense in frequency domain and we take into consideration the analog filter characteristics and frequency domain characteristics of the system to be protected. The simulation results showed that these coefficients can be successfully used to obtain impedance value in distance relay.

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3차원 보간 오차를 개선하기 위한 룩업 테이블의 최적화에 관한 연구 (Study on Optimization of Look-Up Table to Reduce Error of Three-dimensional Interpolation)

  • 김주영;이학성;한동일
    • 대한전자공학회논문지SP
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    • 제44권2호
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    • pp.12-18
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    • 2007
  • 3차원 보간(three-dimensional interpolation)은 색역 사상(Color Gamut Mapping)등 컬러 신호 변환에 널리 사용되고 있다. 이러한 3차원 보간은 주어진 컬러 입력 신호에 대해 균등하게 샘플링된 표본 입력에 대해 미리 계산된 표본 출력을 저장하는 룩업 테이블(look-up table)에서 추출한 및 개의 표본 출력을 이용하여 출력 신호를 근사적으로 산출하는 방식이다. 따라서 3차원 보간의 오차는 룩업 테이블에 저장되는 표본 출력의 값에 의해 심하게 결정된다. 본 논문에서는 최소 자승법(least square method)을 이용하여 고정된 크기의 룩업 테이블에 저장되는 표본 출력 값을 최적화함으로써 3차원 보간의 오차를 최소화하고자 한다. 제안된 방법은 기존의 룩업 테이블 구성 방법에 비해 개선된 오차 성능을 보인다.

에너지 제약을 갖는 발전기를 고려한 경우의 Mixture of Cumulants Approximation법에 의한 발전시뮬레이션에 관한 연구 (The Probabilistic Production Simulation with Energy Limited Units Using the Mixture of Cumulants Approximation)

  • 송길영;김용하
    • 대한전기학회논문지
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    • 제40권12호
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    • pp.1195-1202
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    • 1991
  • This paper describes a newly developed method of production simulation by using the Mixture of Cumulant Approximation (MOCA). In this method, the load is modelled as random variable (r.v.) which can be interpreted in terms of partitioning the load into various categories. We can consider the load shape of multi-modal characteristics. The number of load category and demarcation points of each load category are calculated automatically by using interpolation and least square method. Each generating unit of a supply system is modelled as r.v. of unit outage capacity according to the number of unit outage subset. Since the computation burden of each subset's moments increases exponentially as units are convolved to the system, we further derive the specific recursive formulae. In simulating the energy limited units, hydro unit simulation is performed using Energy Invariance Property and the simulation of pumped storage unit is modelled as compulsory and economic operations. The proposed MOCA method is applide to the test systems and the results are compared with those of cumulant and Booth Baleriaux method. It is verified that the MOCA method is considerably reliable and stable both pathological and well behaved system.

Classical and Bayesian methods of estimation for power Lindley distribution with application to waiting time data

  • Sharma, Vikas Kumar;Singh, Sanjay Kumar;Singh, Umesh
    • Communications for Statistical Applications and Methods
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    • 제24권3호
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    • pp.193-209
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    • 2017
  • The power Lindley distribution with some of its properties is considered in this article. Maximum likelihood, least squares, maximum product spacings, and Bayes estimators are proposed to estimate all the unknown parameters of the power Lindley distribution. Lindley's approximation and Markov chain Monte Carlo techniques are utilized for Bayesian calculations since posterior distribution cannot be reduced to standard distribution. The performances of the proposed estimators are compared based on simulated samples. The waiting times of research articles to be accepted in statistical journals are fitted to the power Lindley distribution with other competing distributions. Chi-square statistic, Kolmogorov-Smirnov statistic, Akaike information criterion and Bayesian information criterion are used to access goodness-of-fit. It was found that the power Lindley distribution gives a better fit for the data than other distributions.

주파수역에서의 피드백시스템의 성능향상을 위한 제어기 Atuo-tuning 기법 (Controller Auto-tuning Scheme for Improving Feedback System Performance in Frequency Domain)

  • 정유철;이건복
    • 한국공작기계학회논문집
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    • 제10권3호
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    • pp.26-30
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    • 2001
  • Controller refinement scheme to improve the performance of a conventional system automatically in frequency domain is proposed. The controller automatic tuning method features using experimental frequency responses of the conventional closed-loop system, the conventional controller, and the improved closed-loop system, instead of poorly modeled plant due to non-linearities and disturbances. The improved closed-loop system characteristics is automatically acquired by the con-ventional closed-loop system characteristics and the proposed performance index in system bandwidth. And the proper controller is realized by least squares approximation in frequency domain. To testify the usefulness of the approach, the path tracking control of robot arm is performed. Experimental results and analytic results are well-matched.

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버블패킹기법을 이용한 무요소 갤러킨법에 관한 연구 (Study On The Element Free Galerkin Method Using Bubble Packing Technique)

  • 정순완;최유진;김승조
    • 대한기계학회논문집A
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    • 제24권10호
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    • pp.2469-2476
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    • 2000
  • The meshing of the domain has long been the major bottleneck in performing the finite element analysis. Research efforts which are so-called meshfree methods have recently been directed towards eliminating or at least easing the requirement for meshing of the domain. In this paper, a new meshfree method for solving nonlinear boundary value problem, based on the bubble packing technique and Delaunay triangle is proposed. The method can be efficiently implemented to the problems with singularity by using formly distributed nodes.

스플라인 곡선을 이용한 막구조물의 재단도 작성에 관한 연구 (A Study on Cutting Pattern Generation of Membrane Structures Using Spline Curves)

  • 손수덕;이승재
    • 한국공간구조학회논문집
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    • 제12권1호
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    • pp.109-119
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    • 2012
  • 막 구조물은 일반적인 설계와는 달리 형상해석, 응력변형해석 및 재단도 과정을 수행하여야만 설계가 가능하다. 처음 두 과정과는 달리 재단은 3차원 곡면을 최소 오차를 가진 평면 스트립을 형성하는 과정이다. 경제적인 이유로 재단 선은 주로 측지선을 이용하여 작성된다. 그러나 일반적으로 측지선은 초기 형상탐색에서 구성된 삼각형 요소의 정보에서 추출됨으로 부드러운 곡선이 아니며, 불규칙한 직선이다. 그러므로 어떻게 불규칙한 직선을 곡선으로 표현할 것인가가 중요하다. 따라서 본 연구에서는 스플라인 함수를 이용한 보간 방법을 재단도 생성에 적용하였다. 이를 위해서 삼차 스플라인 함수, B-스플라인 함수 및 최소자승 스플라인 함수의 세 가지 경우에 대해서 고찰하고, 단순 모델 및 카테나리 모델을 대상으로 재단도 작성 결과를 검토하였다. 단순모델의 해석요소수와 추출된 불연속 절점 수에 따른 보간 곡선 비교결과는 요소수가 큰 경우 추출된 절점의 수가 적은 것이 효과적이며, 최소자승 보간이 다른 방법보다 더 부드러운 재단 경계선을 제공한다.

역공학을 위한 측정점의 영역화 (Segmentation of Measured Point Data for Reverse Engineering)

  • 양민양;이응기
    • 한국CDE학회논문집
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    • 제4권3호
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    • pp.173-179
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    • 1999
  • In reverse engineering, when a shape containing multi-patched surfaces is digitized, the boundaries of these surfaces should be detected. The objective of this paper is to introduce a computationally efficient segmentation technique for extracting edges, ad partitioning the 3D measuring point data based on the location of the boundaries. The procedure begins with the identification of the edge points. An automatic edge-based approach is developed on the basis of local geometry. A parametric quadric surface approximation method is used to estimate the local surface curvature properties. the least-square approximation scheme minimizes the sum of the squares of the actual euclidean distance between the neighborhood data points and the parametric quadric surface. The surface curvatures and the principal directions are computed from the locally approximated surfaces. Edge points are identified as the curvature extremes, and zero-crossing, which are found from the estimated surface curvatures. After edge points are identified, edge-neighborhood chain-coding algorithm is used for forming boundary curves. The original point set is then broke down into subsets, which meet along the boundaries, by scan line algorithm. All point data are applied to each boundary loops to partition the points to different regions. Experimental results are presented to verify the developed method.

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자유표면 유동해석을 위한 WMLS 기반 입자법 기술 개발 (Development of WMLS-based Particle Simulation Method for Solving Free-Surface Flow)

  • 남정우;박종천;박지인;황성철;허재경;정세민
    • 한국해양공학회지
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    • 제28권2호
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    • pp.93-101
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    • 2014
  • In general, particle simulation methods such as the MPS(Moving Particle Simulation) or SPH(Smoothed Particle Hydrodynamics) methods have some serious drawbacks for pressure solutions. The pressure field shows spurious high fluctuations both temporally and spatially. It is well known that pressure fluctuation primarily occurs because of the numerical approximation of the partial differential operators. The MPS and SPH methods employ a pre-defined kernel function in the approximation of the gradient and Laplacian operators. Because this kernel function is constructed artificially, an accurate solution cannot be guaranteed, especially when the distribution of particles is irregular. In this paper, we propose a particle simulation method based on the moving least-square technique for solving the partial differential operators using a Taylor-series expansion. The developed method was applied to the hydro-static pressure and dam-broken problems to validate it.

Auto-Measurement of Induction Motor Parameters

  • Kim Kyung-Seo;Byun Sung-Hoon
    • Journal of Electrical Engineering and Technology
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    • 제1권2호
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    • pp.226-232
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    • 2006
  • This paper presents the parameter measurement methods for high performance drive of induction motors, which are suitable for the self-commissioning function of commercial inverters. In this study, some factors that affect the accuracy of parameter measurement are examined. Measuring methods and conditions that are best fit to each parameter measurement procedure are then proposed. All the measurement procedures can be done without any auxiliary equipment, so that those can be easily adopted as self-commissioning functions of commercial inverters. To improve the measuring accuracy, least square approximation methods are adopted during the measurement procedure. The validity of the proposed methods are confirmed through experiments.